Question

Two birds sit at the top of two different trees. The distance between the first bird and a bird watcher on the ground is 29.7 feet. The distance between the bird watcher and the second bird is 42.1 feet.
What is the angle measure, or angle of depression, between this bird and the bird watcher?

Answer 1

45.1°
44.9°
54.8°
35.2°

Answer 2

Give me 1 minute. I will solve it within a minute

Answer 3

The answer is B:44.9

Answer 4

I am 100% sure, but do you need an explanation?

Answer 5

yes please and thank you:)

Answer 6

Ok, are you familiar with Sin, Cosine, and Tangent?

Answer 7

Since we are trying to solve for x, we need to know what numbers we already have.

Answer 8

okay yeah!

Answer 9

If you draw the triangle on a piece of paper, you will notice the longest side(42.1) is the hypotenouse. And the adjacent side is the side opposite of the angle x. Got it?

Answer 10

got it!!

Answer 11

Since we know the Opposite side and the hypotenouse, we will use SIN. Sin=Opposite/Hypotenouse

Answer 12

uhu,..

Answer 13

Need help?

Answer 14

What did you not understand

Answer 15

oh no, I said uhu,....i got it!!!!!!

Answer 16

Ok

Answer 17

Sin=Opposite/Hypotenouse.
Sin=29.7/42.1

Answer 18

29.7/42.1=0.705463183

Answer 19

Got it so far?

Answer 20

okedoke!!

Answer 21

do you have a calc?

Answer 22

yeah

Answer 23

calculator?

Answer 24

Ok, when solving for a side we use SIN, but when solving for an angle we use \[Sin^-1\]

Answer 25

got it?

Answer 26

got!

Answer 27

it!!

Answer 28

Now we insert our answer for the opposite/hypotenouse.
Put this in a calculator
\[Sin^-1(0.705463183)\]

Answer 29

when you put this in a calculator you get 44.86697606. Round this number to the nearest tenth place.

Answer 30

Do you fully understand?

Answer 31

Lets become each others fans. I will become your fan, and you become my fan. If you need help, let me know.

Answer 32

@bubblegumcrazy

Answer 33

awesome thank you:)